Higher integrability for gradients of solutions to degenerate parabolic systems

Dung Le

doi:10.3934/dcds.2010.26.597

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2010, Volume 26, Issue 2: 597-608. Doi: 10.3934/dcds.2010.26.597

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Higher integrability for gradients of solutions to degenerate parabolic systems

Dung Le^1,

1.
Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249

Received: December 31, 2008

Revised: June 30, 2009

Published: June 2010

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Abstract

Using the method of heat approximation, we will establish higher integrability for the gradients of bounded weak solutions to certain strongly coupled degenerate parabolic systems.

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Mathematics Subject Classification: Primary: 35K65; Secondary: 35B65.

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